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Finding the Third Proportional to 41,527 and 97,491

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Solution

The third proportional to 41,527 and 97,491 is: 228,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,527 : 97,491 = 97,491 : x
  2. Step 2: Convert to fraction form
    41,527/97,491 = 97,491/x
  3. Step 3: Cross multiply
    41,527x = 97,491 × 97,491
  4. Step 4: Simplify right side
    41,527x = 9,504,495,081
  5. Step 5: Solve for x
    x = 9,504,495,081/41,527
  6. Step 6: Final answer
    x = 228,875.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.